Hi and welcome to the forum
While you have a mower problem, it is not a small engine problem, it is an electrical problem.
Going to guess you live a newer house and the outside outlets are protect by both circuit breakers and GFI (Ground Fault Interrupters). Cutting the cord probably tripped both. Some house used a GFI Breaker, in the breaker box and some used GFI outlets.
Make sure the outlet you are trying to use has power.
BG